Answer:
26.6 m
Step-by-step explanation:
The formula for the volume of an hemisphere is given as:
The volume of a hemisphere = (2/3)πr³ cubic units.
Volume = 4960m³
Hence,
4960 = 2/3πr³
4960 = 2 × πr³/3
Cross Multiply
4960 × 3 = 2πr³
Divide both sides by 2π
4960 × 3/2π = 2 πr³/2π
r³ = 2368.2255532
We would cube root both sides.
cube root(r³) = cube root(2368.2255532)
r = 13.329310588 m
Approximately = 13.3m
The formula for diameter = 2 × r
Diameter of the hemisphere = 2 × 13.33m
= 26.6 m
Answer:
26.7 is the right answer.
Step-by-step explanation:
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify R - S + T.
-3m - 4n + 14
-m + 2n - 2
m - 2n - 2
3m - 4n + 14
Answer:
The first: -3m - 4n + 14Step-by-step explanation:
Q = 7m + 3n,
R = 11 - 2m,
S = n + 5,
T = -m - 3n + 8.
R - S + T = 11 - 2m - (n + 5) + (-m - 3n + 8)
R - S + T = 11 - 2m - n - 5 - m - 3n + 8
R - S + T = 14 - 3m - 4n
R - S + T = -3m - 4n + 14
solve for x
7/x =10
Give your answer as a fraction in its simplest form
Answer:
Step-by-step explanation:
Answer:
x = 7/10
Step-by-step explanation:
You multiply both sides by "x", to get 7 = 10x. Then divide both sides by 10 to get 7/10 = x, or 0.7 = x.
Brainliest please!
Calculate $x^{6} + (y^{2} \div z^3)\cdot w^3$ assuming that $x=2$, $y=3^2$, $z=3$, and $w=4$.
pleeeeeeease help i am struggling
Answer:
this copy and paste is to hard to read making it impossible to solve sorry.
Step-by-step explanation:
The value of the expression is 256.
What is simplification of an expression?Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.
For the given situation,
The expression is $x^{6} + (y^{2} \div z^3)\cdot w^3$
⇒ \(x^{6}(\frac{y^{2} }{z^{3} } )(w^{3} )\)
Substitute $x=2$, $y=3^2$ = 9$, $z=3$, and $w=4$,
⇒ \(2^{6}(\frac{9^{2} }{3^{3} } )(4^{3} )\)
⇒ \(64+(\frac{81}{27} )(64)\)
⇒ \(64+(3)(64)\)
⇒ \(64+192\)
⇒ \(256\)
Hence we can conclude that the value of the expression is 256.
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some scientists believe that a new drug would benefit about half of all people with a certain blood disorder. to estimate the proportion of patients who would benefit from taking the drug, the scientists will administer it to a random sample of patients who have the blood disorder. what sample size is needed so that the 95% confidence interval will have a width of 0.06? group of answer choices 2056 2401 1503 748 1068
Rounding up to the nearest integer, we get a sample size of 1068. Therefore, the answer is 1068.
To find the required sample size, we need to use the formula for the margin of error of a proportion:
Margin of error = z*sqrt(p(1-p)/n)
where z is the z-score for the desired level of confidence, p is the estimated proportion, and n is the sample size.
Since we want the confidence interval to have a width of 0.06, the margin of error should be 0.03. Also, since the scientists believe that about half of all people with the blood disorder will benefit from the drug, we can estimate p as 0.5. Finally, we can use a z-score of 1.96 for a 95% confidence interval.
Substituting these values into the formula, we get:
0.03 = 1.96sqrt(0.5(1-0.5)/n)
Solving for n, we get:
n = (1.96/0.03)^20.5(1-0.5) = 1067.11
Rounding up to the nearest integer, we get a sample size of 1068. Therefore, the answer is 1068.
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I meed help but please no links its not helpful
Answer:
It's the 4th graph, to the bottom right corner.
Step-by-step explanation:
Since x is greater than 2, we are looking at everything shaded to the right of 2. The line is also important, if it's a greater than sign or a less than sign, the line will always be dotted. While a greater than or equal to sign, or a less than or equal to sign will always be solid.
Hopes this makes sense :)
I need help question in picture
it's is A= pi x r x 2^
diameter is 17 divide by two is the radius
3.14 x 8.5 x 8.5 is 226.865
abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.
Answer:
Let ac=ab=5
With this, bc= 5√2
Step-by-step explanation:
So to find ad, Let ad be x
5√2=(2)(x)
(5√2/2)= x
This proves that bc=2ad
-6/11 divided by 5/11
Answer:
-1.2
Step-by-step explanation:
siri knows
Answer:
1,2
Step-by-step explanation:
also could be known as 720 ILCS
1 of 20 ans
A lion needs to eat at least 15 pounds of food each day. The zoo feeds the lion using canisters that each contain 3 pounds of food. The lion has already
consumed 9 pounds of food. How many more canisters I of food does the lion need to eat? Write your answer as an inequality
The solution is
Answer:
At least 2 canisters of food.
Step-by-step explanation:
We know that the lion has eaten 9 pounds out of the 15 so far. Therefore, the lion must eat 6 more pounds of food today. We know that 6/3=2. That means that the lion must eat at least two canisters of food today.
HELP ASAP (math)(6th grade)
What is the slope of the line that passes through the pair of points?
(5, 8), (9,-3)
Answer:
-11/4
Step-by-step explanation:
slope = \(\frac{-3-8}{9-5} =\frac{-11}{4}\)
Hope this helps
Answer:
-11/4
Step-by-step explanation:
slope = (difference in y)/(difference in x)
slope = (-3 - 8)/(9 - 5) = -11/4
I NEED HELP PLZZZZZ HELP MEEEEEE!!!! Asha feels she needs $45,000 per year in retirement. If she receives $30,000 a year from Social Security, at what interest rate must Asha invest her $250,000 of savings for her total income to be at least $45,000 per year?
a.)at least 6% interest
b.)at least 17% interest
c.)at least 18% interest
d.)at least 30% interest
What is the percent error if a stick of length 60 inches is measured to be 63 inches long?
If a stick of length 60 inches is measured to be 63 inches long the the percent error will be 5% .
The Percent Error can be calculated by the formula
Percent Error = (measured value - actual value)/(actual value) ×100
In the question ,
it is given that
the original length of the stick is 60 inches .
the measured length of the stick is 63 inches .
So, the measured value = 63 inches ,
actual value = 60 inches .
Substituting the measured values and actual value in the percent error formula , we get
Percent Error = (63-60)/60 × 100
= 3/60 × 100
= 1/20 × 100
= 100/20
= 5 %
Therefore , if a stick of length 60 inches is measured to be 63 inches long the the percent error will be 5% .
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Find the slope of the line
Answer:
1/2
Step-by-step explanation:
2x²+10x+12 اريد مساعده
Answer:
2(x+2)(x+3)
Step-by-step explanation:
Any answers for this question
Step-by-step explanation:
hear is your both answer
In Princeton's wig shop, 1/4 of the wigs are blonde and 2/3 of the wigs are brunette. What fraction of the wigs are either blonde or brunette?
Answer:
In Princeton's wig shop, the total number of wigs is the sum of the number of blonde wigs and the number of brunette wigs. Since 1/4 of the wigs are blonde and 2/3 of the wigs are brunette, the fraction of wigs that are either blonde or brunette is 7/12.
Answer:
\(\frac{11}{12}\)
Step-by-step explanation:
\(\frac{1}{4}\) + \(\frac{2}{3}\) The common denominator is 12 make equivalent fractions with 12 as the denominator
\(\frac{1}{4}\) x \(\frac{3}{3}\) = \(\frac{3}{12}\)
\(\frac{2}{3}\) x \(\frac{4}{4}\) = \(\frac{8}{12}\)
\(\frac{3}{12}\) + \(\frac{8}{12}\) = \(\frac{11}{12}\)
The perimeter of a rhombus is 20. If the length of its longer downhill measures 8, what is the length of the shorter diagonal?
Answer:
2
Step-by-step explanation:
rhombus = a parallelogram
so 20 = 2*(8+x)
so x =2
A researcher wants to know if a new type of exercise improves people’s health. Would this be a one-tailed or a two-tailed test and why?
a) One-tailed because the study is only interested in whether exercise increases health. b) One-tailed because the study only looks at the effects of exercise and does not take other factors into account. c) Two-tailed because they will have to study healthy and unhealthy people. d) Two-tailed because there is no predicted direction of the difference.
Two-tailed because there is no predicted direction of the difference. The correct answer is D.
In hypothesis testing, a one-tailed test is used when the researcher has a specific prediction about the direction of the effect. They expect the results to be either greater than or less than a certain value. However, in this scenario, the researcher simply wants to investigate whether the new type of exercise improves people's health without any specific directional prediction.
A two-tailed test is appropriate when the researcher wants to determine if there is a significant difference between the groups being compared, but without specifying the direction of the difference. In this case, the researcher wants to examine if the new exercise has any effect on health, whether it improves or worsens it. Therefore, a two-tailed test is suitable as it allows for the possibility of observing a significant difference in either direction.
Therefore, considering these factors, the researcher should conduct a two-tailed test to assess the potential impact of the new exercise on people's health. The correct answer is D.
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Brandy's candies paid $23 million in dividends during 1998, while also making net common stock repurchases of $27 million. what was the cash flow to stockholders for 1998?
The cash flow to stockholders for 1998 is -$4 million.
To calculate the cash flow to stockholders for 1998, follow these steps:
Identify the dividends paid: Brandy's Candies paid $23 million in dividends during 1998.
Determine the net common stock repurchases: Brandy's Candies made net common stock repurchases of $27 million during 1998.
Subtract the net common stock repurchases from the dividends paid: $23 million - $27 million = -$4 million.
The resulting cash flow to stockholders for 1998 is -$4 million, indicating a net outflow of cash from stockholders.
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please help meeeeeeeeeeeee
Answer:
x=75
Step-by-step explanation:
The total degrees of a pentagon is 540
120+120+2(75)+75+75
120+120=240
2(75)=150
75+75=150
240+150+150=540
Find the distance between the two points. Round your answer to the nearest tenth.
(5, -8) and (-3,-1)
Answer: 10.6
Step-by-step explanation:
The formula to get the distance between the two points will be:
D = ✓[(x2 - x1)² + (y2 - y1)²]
where,
x1 = 5
X2 = -3
y1 = -8
y2 = -1
D = ✓[(-3 -5)² + (-1 +8)²]
D = ✓(-8)² + (7)²
D = ✓(64 + 49)
D = ✓113
D = 10.6
The distance is 10.6
Which is the superior observational study? Why? Choose the correct answer below. A. Cross-sectional studies are always the superior observational study because they are cheap and quick to do. B. Neither study is always the superior to the other. Both have advantages and disadvantages that depend on the situation. C. Case-control studies are always the superior observational study because they are relatively inexpensive to conduct and can be done relatively quickly.
The superior observational study is B. Neither study is always superior to the other.
None of the observational studies is superior to the other.
1. Cross-sectional studies are observational studies that gather data on people over a very little period of time or at a specific point in time.
Benefits of Cross-Sectional Research
Cross-sectional research has benefits that includeused to support or refute hypothesesinexpensive to complete and taking little time.captures a particular moment in time.includes a number of variables at the moment the data snapshot was taken.The data can be used for a variety of research projects. Cross-sectional studies include the following drawbacks:cannot be used to study how people behave over time.does not assist in establishing cause and consequence.2. Case-control studies are observational studies that are retrospective, meaning that participants or the researcher must look back in time or at past data.
Advantages:
They are effective for diseases with a short latency time between exposure and disease manifestation, such as uncommon disorders.They are helpful when exposure data is expensive since they are less expensive and time-consuming.They are helpful when researching dynamic populations where follow-up is challenging.Disadvantages:
They are vulnerable to prejudice in selection.They are useless for uncommon exposures.Exposure data is susceptible to observational bias.They typically do not permit incidence calculation.To read more about the observational study, visit https://brainly.com/question/15938198
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What is the expanded form of this number? (In fractions)
570.086
Answer:
570 86/1000
Step-by-step explanation:
decimal goes into thousandths place
570 is a whole number
simplified is 570 43/500
(5×100)+(7×10)+(8×.010)+(6×.001)
Which graph represents the function
f (x) = |x+2| +1?
Answer: The first graph
Step-by-step explanation:
Graph the absolute value using the vertex and a few selected points.
Hope this helps !
Find values of m so that the function y xm is a solution of the given differential equation. x^2y''-7xy' 15y=0
If \(y=x^m\) is a solution to the ODE
\(x^2 y'' - 7xy' + 15y = 0\)
then substituting \(y\) and its derivatives
\(y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}\)
gives
\(m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0\)
\(m(m-1)x^{m} - 7mx^{m} + 15x^m = 0\)
\((m(m-1) - 7m + 15)x^{m} = 0\)
We ignore the trivial case of \(y=x^m=0\). Solve for \(m\).
\(m(m-1) - 7m + 15 = 0\)
\(m^2 - 8m + 15 = 0\)
\((m - 3) (m - 5) = 0\)
\(\implies \boxed{m=3} \text{ or } \boxed{m=5}\)
Find equation of the tangent line to the curve e^y sin(ry) = e at the
point (0,1)
The equation of the tangent line to the curve \(e^y sin(ry) = e\)
at the point (0,1) is y = 1
How to determined the tangent line?To find the equation of the tangent line to the curve \(e^y sin(ry) = e\)
at the point (0,1),
we can use the following steps:
. Take the natural logarithm of both sides of the equation to get:
\(ln(e^y sin(ry)) = ln(e)\)
. Use the product rule of logarithms to simplify the left-hand side:
\(ln(e^y) + ln(sin(ry))\) = 1
\(y + ln(sin(ry)) = 1\)
. Take the derivative of both sides of the equation with respect to x,
using the chain rule for the second term on the left-hand side:
\(d/dx\) \((y + ln(sin(ry))) = d/dx(1)\)
\(dy/dx\) +\(cos(ry) dy/dxr\) = 0
\(dy/dx\) \((1 + cos(ry)*r)\) = 0
\(dy/dx\) = 0 when r \(= -1/cos(y)\)
. At the point (0,1), we have r\(=\) \(-1/cos(0) = -1.\)
. Finally, we can use the point-slope form of the equation of a line to write the equation of the tangent line:
\(y - y1 = m(x - x1)\)
. where \((x1, y1)\) = (0, 1) and m = \(dy/dx\)= 0
when r = \(-1/cos(y) = -1\)
\(y - 1 = 0(x - 0)\)
\(y = 1\)
Therefore, the equation of the tangent line to the curve \(e^y sin(ry) = e\)
at the point (0,1) is y = 1.
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Sole the quadratic equation3x^2+x-5=0 to the nearest 2 decimals
-2 = 3x + 8/2 Solve for x.
Simplify your answer as much as possible.
Answer:
x= -2
Step-by-step explanation:
-2 = 3x + 8/2
-2+2=3x+4+2 (add 2 to both sides)
0=3x+6
-6=3x+6-6
3x=-6
x=-6/3
x= -2
In classification analysis, we are determining the probability of an observation ________.
In classification analysis, we are determining the probability of an observation belonging to a specific class.
Classification analysis is a machine learning technique used to predict the class or category to which an observation belongs. The goal is to assign a probability to each possible class, indicating the likelihood of the observation belonging to that class. This is typically done by training a classification model on a labeled dataset, where the classes are known for a set of observations. The model learns patterns and relationships from the training data and then uses that knowledge to predict the class of new, unseen observations. The predicted probabilities can be used to make informed decisions, such as determining the most likely class for a given observation or setting a threshold for making binary decisions.
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